Highest Common Factor of 263, 964 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 263, 964 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 263, 964 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 263, 964 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 263, 964 is 1.
HCF(263, 964) = 1
HCF of 263, 964 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 263, 964 is 1.
Highest Common Factor of 263,964 is 1
Step 1: Since 964 > 263, we apply the division lemma to 964 and 263, to get
964 = 263 x 3 + 175
Step 2: Since the reminder 263 ≠ 0, we apply division lemma to 175 and 263, to get
263 = 175 x 1 + 88
Step 3: We consider the new divisor 175 and the new remainder 88, and apply the division lemma to get
175 = 88 x 1 + 87
We consider the new divisor 88 and the new remainder 87,and apply the division lemma to get
88 = 87 x 1 + 1
We consider the new divisor 87 and the new remainder 1,and apply the division lemma to get
87 = 1 x 87 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 263 and 964 is 1
Notice that 1 = HCF(87,1) = HCF(88,87) = HCF(175,88) = HCF(263,175) = HCF(964,263) .
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Frequently Asked Questions on HCF of 263, 964 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 263, 964?
Answer: HCF of 263, 964 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 263, 964 using Euclid's Algorithm?
Answer: For arbitrary numbers 263, 964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.